Nonlinear dynamics problems: mathematical models of viscoelastic isotropic plates and shells with smoothly variating thickness (asymmetrical cases)

Abstract

More complete mathematical models for the dynamic problems of the isotropic plates and shells with smoothly variatind thickness (asymmetrical cases), which help taking into account both geometrical nonlinearity and possible creeping (viscoelacticity) of the material, are given. Respective integro-differential equation systems in patrial derivatives are produced.

Keywords

• plates and shells
• smoothly variating thickness
• geometrical nonlinearity
• creeping (viscoelasticity)
• motion equation